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Simplifying -82 = 2(1 + -6p) -82 = (1 * 2 + -6p * 2) -82 = (2 + -12p) Solving -82 = 2 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. -82 + 12p = 2 + -12p + 12p Combine like terms: -12p + 12p = 0 -82 + 12p = 2 + 0 -82 + 12p = 2 Add '82' to each side of the equation. -82 + 82 + 12p = 2 + 82 Combine like terms: -82 + 82 = 0 0 + 12p = 2 + 82 12p = 2 + 82 Combine like terms: 2 + 82 = 84 12p = 84 Divide each side by '12'. p = 7 Simplifying p = 7
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